Physics: Principles with Applications
Physics: Principles with Applications
6th Edition
ISBN: 9780130606204
Author: Douglas C. Giancoli
Publisher: Prentice Hall
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Chapter 1, Problem 45GP
To determine

To Estimate: The diameter of the moon.

Expert Solution & Answer
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Answer to Problem 45GP

  D=2.280 km

Explanation of Solution

Given info:

Distance of moon from the earth, R=3.8×105 km = 3.8×108 m

Estimated diameter of the pencil, d=6 mm = 6.0×103 m

Estimated distance of pencil from the eye, r=1.42 arm-length = 1 m

Formula used:

The condition of similarity of two triangles:

  DR=dr

Calculation:

  Physics: Principles with Applications, Chapter 1, Problem 45GP

Triangle OAB and OCE are similar triangle, therefore:

  OAOC=ABCErR=dD

The diameter of the moon:

  D=Rrd

    =3.8×1081×6.0×103

    =22.8×105 m

    =2280 km

Conclusion:

Hence,estimated diameter of the moon: 2280 km

Chapter 1 Solutions

Physics: Principles with Applications

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